{
  "abstract": "In braneworld realizations of quantum gravity where our four-dimensional de Sitter universe (dS4) emerges as a metastable Karch-Randall 3-brane embedded in an asymptotically Anti-de Sitter five-dimensional bulk (AdS5), the localized four-dimensional graviton is not a strictly massless zero mode. Due to the non-vanishing positive curvature H > 0 on the brane and radiative coupling across the AdS5 throat, the graviton acquires a small effective mass resonance m_g > 0. In linearized Fierz-Pauli theory, any non-zero graviton mass triggers two severe infrared pathologies: the van Dam-Veltman-Zakharov (vDVZ) discontinuity, which predicts a catastrophic 25% deficit in the relativistic deflection of light (gamma_PPN = 1/2), and the excitation of a sixth polarization degree of freedom—the Boulware-Deser ghost. In this third paper of the series (Paper I-C), we prove that the non-equilibrium Karch-Randall brane geometry established in Papers I-A and I-B is rigorously free of both pathologies. First, by performing a complete Sturm-Liouville spectral decomposition of transverse-traceless metric fluctuations in conformal bulk coordinates, we derive the exact hyperbolic Poschl-Teller potential and demonstrate that the Kaluza-Klein continuum exhibits a universal mass gap m_gap^2 = (9/4) H^2 that lies strictly above the four-dimensional de Sitter Higuchi unitarity bound (m^2 >= 2 H^2). Second, we prove that the brane-bending scalar mode pi(x) is protected against ghost instabilities by the emergent Deser-Waldron gauge symmetry and dissipates radiatively into the AdS5 bulk as a metastable Breit-Wigner resonance. Finally, we derive the non-linear cubic Galileon effective action on the brane with strong coupling scale Lambda_V = (M_Pl * m_g^2)^(1/3) and solve the radial field equations inside the Vainshtein radius r_V = (r_s / m_g^2)^(1/3) ~ 100 pc, proving that scalar fifth forces in the Solar System are suppressed by (r/r_V)^(3/2) ~ 10^(-7.5), restoring General Relativity well within Cassini and Lunar Laser Ranging bounds.",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Alan Conrad Carrasco",
      "orcid": "0009-0007-1802-0834"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8y110geycvqtc.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23491397",
  "fulltext_url": null,
  "id": "8y110geycvqtc",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23491397",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": "https://zenodo.org/api/records/23491397/files/document_C.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8y110geycvqtc.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:22Z",
      "native_id": "23491397",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23491397"
    }
  ],
  "subjects": [],
  "title": "Non-Equilibrium Holographic Brane Cosmology in AdS5. I-C: Graviton Spectral Decomposition, Higuchi Ghost Protection, and Non-Linear Vainshtein Screening on the Karch-Randall Brane",
  "title_text": "Non-Equilibrium Holographic Brane Cosmology in AdS5. I-C: Graviton Spectral Decomposition, Higuchi Ghost Protection, and Non-Linear Vainshtein Screening on the Karch-Randall Brane",
  "type": "preprint",
  "updated_at": "2026-11-03T12:21:22Z",
  "url": "https://research.draconitic.com/paper/8y110geycvqtc",
  "venue": "Zenodo",
  "versions": []
}